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Finding the Fourth Proportional to 7,149.38, 9,870.95 and 4,464.68

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Solution

The fourth proportional to 7,149.38, 9,870.95 and 4,464.68 is: 6,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.38 : 9,870.95 = 4,464.68 : x
  2. Step 2: Convert to fraction form
    7,149.38/9,870.95 = 4,464.68/x
  3. Step 3: Cross multiply
    7,149.38x = 9,870.95 × 4,464.68
  4. Step 4: Simplify right side
    7,149.38x = 44,070,633.05
  5. Step 5: Solve for x
    x = 44,070,633.05/7,149.38
  6. Step 6: Final answer
    x = 6,164.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.